Answer:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
AC would be equivalent to 4. I know that the triangle is a 90, 45, 45 triangle which means 2 of the angles AND sides are equivalent to each other. Since angle B is 45 degrees angle C has to be 45 degrees. Same goes for the sides. Since AB=4, AC=4. It wouldn't be BC bc that's the hypotenuse or the longest part of the triangle. AC wouldn't be equal to 2 since it won't follow the rule of a 90, 45, 45 triangle. :|
This is the concept of proportionality, given that m is directly proportion to y and n and inversely proportional to p^2. We are required to find what happens to m when y is quadrupled, p is tripled and n is multiplied by 5;
From the equation;
m=(yn)/p^2
when:
y is quadrupled we get 4y
p is tripled we get 3p
n is multiplied by 5 we get 5n
thus the new value of m will be:
m=(4y*5n)/(3p)^2
m=(20yn)/9p^2
m=(20/9)(yn/p^2)
that means that m will be increased bby 20/9
The volume of the box is given by:
Where,
w: width of the box
h: height of the box
l: length of the box
Substituting values:
The volume of the box in inches is:
Then, the volume of each penny is:
Where,
r: coin radius
h: coin height
Substituting values:
Then, the number of coins that fit in the box is:
Answer:
the number of pennies that would fit in the box is:
Answer:
Variance = 9
Standard deviation = 3
Step-by-step explanation:
Step 1
Find the Mean
Means = Sum of values/Number of values
= 0 + 1 + 4 + 4 + 6 + 7 + 7 + 7 + 9/9
= 45/9
= 5
Step 2
The formula for Sample variance
= (x - Mean)²/n - 1
Where
n = number of values = 9
Hence:
Sample variance =
( (0 - 5)² + (1 - 5)²+ (4 - 5)² + (4 - 5)² + (6 - 5)² + (7 - 5)² + (7 - 5)² + (7 - 5)² + (9 - 5)²)/9 - 1
= (-5² + -4²+ -1² + -1² + 1² + 2² + 2² + 2² + 4²) /8
= (25 + 16 + 1 + 1 + 1 + 4 + 4 + 4 + 16)/8
= 72/8
= 9
Sample Standard deviation = √Sample variance
= √9
= 3
